Sharp global well-posedness for a higher order Schrödinger equation

Details Sharp global well-posedness for a higher order Schrödinger equation Sharp global well-posedness for a higher order Schrödinger equation

2005-04-28

arxiv.org/abs/math/0504568v2

Mathematics

Analysis of PDEs

Scientific paper

Using the theory of almost conserved energies and the ``I-method'' developed
by Colliander, Keel, Staffilani, Takaoka and Tao, we prove that the initial
value problem for a higher order Schr\"odinger equation is globally well-posed
in Sobolev spaces of order $s>1/4$.

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